Key takeaways
- Six units, from antenna parameters to ionospheric and line-of-sight propagation.
- Directivity, gain, effective aperture and radiation resistance are defined in one place.
- The Friis equation is explained with a solved link numerical.
- Arrays cover broadside, end-fire and binomial arrays with an array factor example.
- Original Uncodemy revision notes, not official university notes. Check your own syllabus.
About these handwritten notes
These Antennas and Wave Propagation notes are original Uncodemy revision notes, written in a clean handwritten style so they are quick to read before an exam. They follow the common B.Tech syllabus for Antennas and Wave Propagation (B.Tech ECE and GATE EC basics). They are not official university notes and not copied from any textbook or past paper.
Topic order, unit numbers and depth vary between universities, so first place each unit below against your own university syllabus. If your syllabus has a topic that is missing here, add it in the margin from your class notes or textbook. Use these notes for revision after you have studied the topic once in class, not as your only study material. They are short on purpose: the aim is to help you recall the main ideas, formulas and diagrams quickly, so that your exam time goes into writing good answers.
What's inside the Antennas and Wave Propagation notes
Each unit gives definitions first, then the key formulas and a worked example. Radiation patterns and array sketches are drawn so you can copy them in the exam.
- Unit 1: Antenna Basics. Radiation mechanism, directivity, gain, beamwidth, effective aperture, radiation resistance and the Friis transmission equation.
- Unit 2: Wire Antennas. Hertzian (short) dipole, half-wave dipole and monopole, with their radiation resistance and directivity.
- Unit 3: Antenna Arrays. Array factor, pattern multiplication, broadside, end-fire and binomial arrays.
- Unit 4: Practical Antennas. Yagi-Uda, helical, horn, parabolic reflector and other common antennas.
- Unit 5: Antenna Measurements (short). How gain, radiation pattern and impedance are measured.
- Unit 6: Wave Propagation. Ground wave, ionosphere layers, sky wave with critical frequency, MUF and skip distance, and space wave (line of sight).
The last page of the PDF lists the most asked practice questions for the whole subject, so you can test yourself after finishing all the units.
Formulas and solved examples in the PDF
Formula boxes cover the Friis equation, Ae = λ²G/4π, the radiation resistance of short and half-wave dipoles, the array factor and the line-of-sight distance formula. Solved examples include a Friis link calculation, the effective aperture of a half-wave dipole at 300 MHz, a two-element broadside array, a sky-wave numerical and the LOS range for 100 m and 16 m antenna heights.
How to revise Antennas and Wave Propagation with handwritten notes
Handwritten-style notes work best when you read actively. Keep a pen and a rough notebook beside you, cover the formula or diagram, and try to write it yourself before you look.
- Keep a short list of standard values, such as 73 Ω and a directivity of 1.64 for the half-wave dipole. Many questions are direct substitutions.
- Practise drawing the dipole and array patterns. A neat sketch makes theory answers much stronger.
- Solve one Friis link and one LOS distance numerical every revision session until the units come naturally.
- Draw the ionosphere layers once and mark critical frequency, MUF and skip distance on the same sketch.
In the last week, read only the formula boxes and exam tips, and solve one numerical or long question per unit from memory. If you study with friends, ask each other to explain one diagram or derivation aloud. Explaining a topic is the fastest way to find the gaps in it.
A short revision plan
If your exam is about a week away, this plan covers every unit in the PDF once and leaves time for practice. Stretch it over two weeks if you are starting from scratch.
- Day 1: Antenna Basics, Wire Antennas.
- Day 2: Antenna Arrays, Practical Antennas.
- Day 3: Antenna Measurements (short), Wave Propagation.
- Day 4: Solve the practice questions in the exam focus section below, one per unit, without the notes.
- Day 5: Read only the formula boxes and exam tips, redo the numericals you got wrong, and sleep early.
Common mistakes to avoid
- Using gain in dB directly in the Friis equation without converting to a ratio, or mixing both forms.
- Forgetting that the monopole has half the radiation resistance of the matching dipole.
- Taking the progressive phase shift β as non-zero for a broadside array. For broadside, β = 0.
- Mixing up critical frequency and MUF. MUF depends on the angle of incidence; critical frequency is for vertical incidence.
How Antennas and Wave Propagation links to other subjects
Antennas and Wave Propagation builds on Electromagnetic Theory, especially Maxwell's equations, plane waves and transmission lines. It links forward to Microwave Engineering, Wireless and Mobile Communication and satellite communication.
Exam focus: high-weightage topics
University papers usually give the most weight to antenna parameters, dipole derivations, arrays and pattern multiplication, practical antennas and sky-wave propagation. The Friis equation and LOS distance are common short numericals.
Typical long and numerical questions to practise:
- Define directivity, gain, HPBW, effective aperture and radiation resistance.
- Derive the radiation resistance of a Hertzian dipole.
- Find the fields and radiation resistance of a half-wave dipole.
- State the Friis equation and solve a link budget numerical.
- Explain pattern multiplication with a four-element array, and compare broadside and end-fire arrays.
- Describe the ionosphere layers and define critical frequency, MUF and skip distance.
When you write a long answer, start with a one-line definition, draw the diagram or circuit, write the derivation in clear steps and end with the final result and its unit. For numericals, write the formula first, then substitute, so you can still earn step marks if the arithmetic slips.
These are practice questions based on common syllabus topics. They are not verified past papers, and we do not claim any question will appear in your exam. For real previous papers, use your university's official archive.
Who these notes are for
These notes are for B.Tech ECE students preparing for their Antennas and Wave Propagation (or Antenna and Microwave) semester exam, and for students revising GATE EC basics such as the Friis equation, dipole values and array factor. They also help before interviews for RF, telecom and network roles where basic antenna questions are asked. If your syllabus combines antennas with microwave engineering, use these notes for the antenna half and add separate notes for microwave devices and measurements. Students who struggle with the field derivations can start with the parameter definitions and the Friis equation, which carry easy marks, and then come back to the dipole derivations.
Download Antennas and Wave Propagation Handwritten Notes PDF
Antennas and Wave Propagation Handwritten Notes PDF
The PDF carries the same content as this page in a clean, print-ready layout, so you can read it offline and keep it for revision.
7 pages · 262 KB · PDF · Updated 5 Nov 2026